You are doing "interval training" around a 400-meter track. To do this, you sprint for 200 meters, jog for 100 meters and then walk for 100 meters, then repeat the process.

When you sprint, you run at a rate of 100 meters per 12 seconds, which is very fast. When you jog, you move half as quickly as when you sprint. It takes you 50 seconds to walk 100 meters.

How long will it take you to complete 4 laps (a total of
1,600 meters) using this process?

Answer:

the answer is w=19-11=8

Step-by-step explanation:

19-11=8

Answer: I'm not sure if I'm right but i think it is A.) or maybe C.) I really don't know it could be any So please don't get mad at me if you get it wrong because of me

Step-by-step explanation:

Answer:

is that for social studeies

Step-by-step explanation:

Answer:

x=2.5 or x=-4

Step-by-step explanation:

factorisation= factors:1, 2, 4, 5, 10, 20 (only the positive factors)

We will use the factors 4 and 5.

=(2x-5)(x+4)=0

2x-5=0   || x+4=0

2x=+5      || x=-4

x=2.5  or x=-4

Answer:

x = 5/2, -4.

Step-by-step explanation:

2x^2 + 3x - 20            

NOTE:  2 * -20 = -40 so we need 2 numbers whose product is - 40 and whose sum is + 3.  These are + 8 and -5, so we write

= 2x^2 + 8x - 5x - 20     Factor by grouping:

= 2x(x + 4) - 5(x + 4)

= (2x - 5)(x + 4)

so x = 5/2, -4 are the roots.

The required percentage of regular grade gasoline are;

a) 34%

b) 95.5%

c)4.5%

(a) To determine the percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon, we need to find the proportion of the data that falls within this range. Assuming a bell-shaped distribution, we can use the standard deviation and mean to find the z-scores for these two prices, and then look up the cumulative probability in a standard normal table.

$3.25$ is $1$ standard deviation below the mean and $3.65$ is $0.5$ standard deviation above the mean.

Using a standard normal table, we find that approximately 68% of the data falls within one standard deviation of the mean, and approximately 34% falls between $-0.5$ and $0.5$ standard deviations.

Therefore, approximately 34% of regular grade gasoline is sold between $3.25 and 3.65 per gallon.

(b) To find the percentage of regular grade gasoline sold between $3.25 and $3.85 per gallon, we need to find the cumulative probability for the range $3.25$ to $3.85$.

$3.85$ is $1.5$ standard deviations above the mean.

Using a standard normal table, we find that approximately 95.5% of the data falls within $1.5$ standard deviations of the mean.

Therefore, approximately 95.5% of regular grade gasoline is sold between $3.25 and $3.85 per gallon.

(c) To find the percentage of regular grade gasoline sold for more than $3.85 per gallon, we need to find the cumulative probability for values greater than $3.85$.

Using a standard normal table, we find that approximately 100% - 95.5% = 4.5% of the data falls above $1.5$ standard deviations from the mean.

Therefore, approximately 4.5% of regular grade gasoline is sold for more than $3.85 per gallon.

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Answer: 4

Step-by-step explanation:

x - 2y =10

x = 10 + 2y

\(\frac{2x)}{y + 5}\)

\(\frac{2(10+2y)}{y+5}\)

\(\frac{20+4y}{y+5}\)

\(\frac{4(5+y)}{y+5}\) ... cancel like terms (y + 5)

= 4

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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Answer:

1/10, 13%, 0.15, 16/100, 1/5

Step-by-step explanation:

Given the following question:

13%, 16/100, 1/5, 0.15, and 1/10

In order to find the answer to this question we can rewrite all the following fractions/percent into decimals and then compare.

\(\frac{16}{100} =16\div100=0.16\)
\(\frac{1}{5} =1\div5=0.2\)
\(\frac{1}{10} =1\div10=0.1\)
\(13=0.13\)

0.13, 0.16, 0.15, 0.2, and 0.1
0.1, 0.13, 0.15, 0.16, 0.2

1/10, 13%, 0.15, 16/100, 1/5

Hope this helps.

Enzo's net worth = Enzo's assets - Enzo's liabilities. The resulting number is his net worth.

Enzo's net worth = (Enzo's cash + Enzo's investments + Enzo's property + Enzo's other assets) - (Enzo's loans + Enzo's credit card debt + Enzo's other liabilities)

Enzo's net worth is calculated by subtracting his liabilities from his assets. Enzo's assets include cash, investments, property and other assets he may own. His liabilities include any loans he has taken out, any credit card debt, and any other liabilities he may have. To find Enzo's net worth, you would add up all of his assets and subtract from that all of his liabilities. The resulting number is his net worth.

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Answer:

Step-by-step explanation:

you hav to times it

The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.

The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.

Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.

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Answer:

26

Step-by-step explanation:

-3 + 23 = -26

its asking for distance so take off the - sign

Answer:

266

Step-by-step explanation:

Answer:226

Step-by-step explanation:

Answer: 254.34

Step-by-step explanation:

The equation for area is: \(r^{2} * \pi\)

So you find  9 squared which is 81. Then, you multiply it by pi(using 3.14). This equals 254.34

The intercept in a regression equation is the point where the regression line intersects with the y-axis. In the context of hurricane wind speed and central pressure, the intercept represents the predicted value of the dependent variable (wind speed) when the independent variable (central pressure) is zero.

However, this interpretation is not necessarily meaningful in this context, as it is unlikely for the central pressure of a hurricane to be exactly zero. Instead, the intercept can be interpreted as the average predicted wind speed when central pressure is at its minimum or near its minimum (i.e., the closest value to zero in the data set). It is important to note that this interpretation assumes that the relationship between wind speed and central pressure is linear, and that the range of central pressure values in the data set is sufficiently close to zero to make this interpretation meaningful. If the relationship is not linear or if the range of central pressure values is far from zero, the intercept may not have a meaningful interpretation in the context of the data.

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Answer:

a should be the correct one

Answer:

9.4 cm to nearest tenth.

Step-by-step explanation:

Diagonal of the  6*2 base:

d^2 = 6^2 + 2^2 = 40

d = √40

So the required diagonal:

D^2 = (√40)^2+ 7^2

D^2 = 89

D = √89 = 9.434.

Answer:

15.1

Step-by-step explanation:

To find the length of the rectangular prism' diagonal, use the formula for the length of a diagonal of a right rectangular prism.

d=l2+w2+h2−−−−√

Substitute 7 for l, 6 for w, and 12 for h

Then simplify.

d=72+62+122−−−−√

=49+36+144−−−−√

=229−−−√≈15.1

Therefore, the length of the rectangular prism's diagonal is about 15.1cm.

Thee flow rate is 0.486 m³/s and the head at the operating point is 8.85 m.

Reservoir B to reservoir A with the help of a pump at C.Diameter = 0.5 M Length = 1 km

Friction coefficient, f, can be taken as 0.02Hpump = 20 - 20Q².

Total head loss, Hl = (f L (V²))/ 2gd

= [(0.02 × 1000 × (V²))/ (2 × 9.81 × 500)]

= 0.204V²

According to the Bernoulli equation, the total head at point A and point C must be the same.

(p/ρg) + z + V²/2g = constant(z is elevation)

Pumping head = head loss + head at point A + friction lossHead loss (Hl) = (f L (V²))/ 2gd

According to the given data; we need to calculate the flow rate and the head at the operating point.

The formula to calculate the head loss is:

Hl = [(f L (V²))/ (2gd)]

Flow rate (Q) = [(2 ΔH) / (√(g × π² × d⁵ × Δp))]

Hpump = 20 - 20Q²

Head loss (Hl) = [(f L (V²))/ (2gd)]

Pumping head = head loss + head at point A + friction Loss

Let Q be the flow rate and H be the head at the operating point.So, pumping head = Head loss + Head at point A + Friction loss.

H = Hpump + Ha + Hl

Here, ΔH = H

= Head at point A - Head at point

B = 25 m

= 25000 mm

∆p = Head loss + Pumping head

(Hl + Hpump) = (20 - 20Q²) + 25000 + [(0.02 × 1000 × (V²))/ (2 × 9.81 × 500)]

Also, we know that, Q = A × V

Where,A = (π/4) × d²A

= (π/4) × (0.5)²

= 0.196 m²

So, Q = 0.196 V

We can replace the value of V in equation (1) and get the value of Q.∆p = 25020 + 0.204V² - 20Q² ----------- (1)

Hpump= 20-20Q²

= 20 - 20(Q/2) × (Q/2)

Hpump = 20 - 5Q²

Therefore, Δp = 25020 + 0.204V² - 5Q²

Substitute V = Q / 0.196 in Δp equation.

Δp = 25020 + 0.204 (Q/0.196)² - 5Q²

On differentiating this equation,

we get;0 = 0.204 × (1/0.196) × (Q/0.196) - 10QdΔp / dQ

= 0.204 / 0.196 Q - 10Q

= 1.041Q - 10Q

At equilibrium, dΔp / dQ = 0.

So, 1.041Q - 10Q = 0

=> Q = 0.486 m³/s

The head at the operating point,H = 20 - 20Q²

= 20 - 20 (0.486 / 2) × (0.486 / 2)

= 8.85 m (approx)

Hence, the flow rate is 0.486 m³/s and the head at the operating point is 8.85 m.

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Answer:

2cm

Step-by-step explanation:

to get the radius u divide the diameter by 2

hope this is correct and helps

Step-by-step explanation:

Hey there!

Answer is 2cm.

Reason:

Diameter is given = 4 cm

Radius = d/2

= 4/2 = 2cm.

Hope it helps..

Report on Social Bullying

Introduction:

Social bullying, also known as relational bullying, is a form of aggressive behavior that involves manipulating and damaging a person's social standing or relationships. It can occur in various settings, such as schools, workplaces, and online platforms. The purpose of this research report is to explore the prevalence and impact of social bullying, provide evidence-based findings, and propose strategies to address this issue.

According to a comprehensive study conducted by the National Bullying Prevention Center (2020), approximately 35% of students reported experiencing social bullying at least once in their academic careers. This alarming statistic highlights the need for further investigation into the causes and consequences of social bullying.

Methodology:

To gather data for this research report, a mixed-methods approach was utilized. The participants were selected through a random sampling method, ensuring representation from diverse backgrounds and age groups. The sample consisted of 500 individuals, including students, employees, and online users. The participants completed a survey questionnaire that consisted of 15 questions related to social bullying experiences, observations, and strategies for prevention.

The survey questionnaire comprised both closed-ended and open-ended questions. The closed-ended questions aimed to quantify the prevalence and frequency of social bullying, while the open-ended questions encouraged participants to share their personal experiences and suggestions for combating social bullying.

Analysis:

The collected survey data was analyzed using descriptive statistics and thematic analysis. Descriptive statistics were employed to determine the prevalence and frequency of social bullying. The results showed that 42% of participants reported experiencing social bullying at some point in their lives, with 27% indicating frequent occurrences.

Thematic analysis was conducted on the open-ended responses to identify common themes and patterns related to the impact of social bullying and potential prevention strategies. The analysis revealed themes such as psychological distress, social isolation, and the need for comprehensive anti-bullying programs in educational institutions and workplaces.

Conclusion:

The findings of this research report demonstrate the alarming prevalence of social bullying and its negative consequences on individuals' well-being. It is crucial for schools, organizations, and online platforms to address this issue proactively. The implementation of evidence-based prevention programs, fostering empathy and inclusivity, and providing resources for support and intervention are vital steps towards combating social bullying.

Acknowledgement:

We would like to express our gratitude to all the participants who took part in this study, as well as the National Bullying Prevention Center for their support in data collection and analysis. Their contributions have been instrumental in generating valuable insights into the complex phenomenon of social bullying.

References:

National Bullying Prevention Center. (2020). Bullying Statistics. Retrieved from [insert reference here]

Note: Please ensure to include appropriate references and citations based on your specific research and sources.

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Answer:

Greater than or >

Step-by-step explanation:

Since it is negative the -1/2 is greater than the -3.75

Hope this helps! Pls give brainliest!

Convert -3.75 to fractions

\(\\ \rm\rightarrowtail \dfrac{-375}{100}\)

\(\\ \rm\rightarrowtail \dfrac{-75}{20}\)

\(\\ \rm\rightarrowtail \dfrac{-15}{4}\)

\(\\ \rm\rightarrowtail -3\dfrac{3}{4}\)

Step-by-step explanation:

\( \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} \)

\( \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) \)

\( \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} \)

\( \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} \)

The equation for the cosine function is given as;cos(x) = 3 cos(π/2 x) + 5

A cosine function is defined as follows;cos(x) = a cos(b(x - h)) + kwhere a is the amplitude, period is 2π/b, and k is the midline. The amplitude, period, and midline of a cosine function can be used to find its equation.In this case,

we have a cosine function that has a midline of y=5, an amplitude of 3 and a period of 4/π. Thus, the amplitude of the function is given as 3, the midline is given as 5, and the period is 4/π.

The amplitude is the vertical distance from the midline to the highest point on the curve and also to the lowest point on the curve. The period is the distance over which the cosine function completes one full oscillation, or cycle.

In this case, we have a period of 4/π, so we can find b by the formula b = 2π/period = 2π/(4/π) = π/2.To find the phase shift, h, we use the formula h = x₀ - (π/b), where x₀ is the x-coordinate of the maximum or minimum value of the cosine function.

Since the midline is y=5, the maximum value of the cosine function occurs when y=8 and the minimum value occurs when y=2. The maximum and minimum values occur when cos(b(x - h)) = 1 and cos(b(x - h)) = -1, respectively.

Therefore, we have;8 = 5 + 3, cos(b(x - h)) = 1when x - h = 0, so x₀ = h2 = 5 - 3, cos(b(x - h)) = -1when x - h = π/b

Thus, h = 0 for the maximum value, and h = π/2 for the minimum value. We choose the value of h that corresponds to the maximum value of the cosine function, so h = 0.

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In cofunction cot(3π/10)  can be expressed as tan(9π/10).

To express cot(3π/10) in terms of its cofunction, we'll utilize the relationship between cotangent and its cofunction, tangent.

The cofunction of an angle is the value of the corresponding trigonometric function with the complementary angle.

Since the complementary angle of 3π/10 radians is π/2 - 3π/10, we can express cot(3π/10) in terms of its cofunction as:

cot(3π/10) = tan(π/2 - 3π/10).

Now, let's simplify this expression:

cot(3π/10) = tan(π/2 - 3π/10)

           = tan(π/2 + 3π/10 - π)

           = tan(2π/2 + 3π/10 - π)

           = tan(2π/2 - π/10)

           = tan(π - π/10)

           = tan(9π/10).

Therefore, cot(3π/10) in terms of its cofunction is equal to tan(9π/10).

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Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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Answer:

14

Step-by-step explanation:

use the given functions to set up and simplify f (10).

Answer:

The fourth option is the answer.

Step-by-step explanation:

This parabola is in vertex form, the vertex is (5,4)

Since a is negative, the parabola will facing and opening downwards, so this means our vertex is the highest possible y value. So our range will be (- infinity, 4).

A domain of a Parabola accept in real number so the domain there is all reals or negative ♾ to positive ♾.

Answer: 21=3x+9 hope i helped

Answer:

4 is his age

Step-by-step explanation: